Classical Topology and Combinatorial Group Theory
This is a well-balanced introduction to topology that stresses geometric aspects. Focusing on historical background and visual interpretation of results, it emphasizes spaces with few dimensions, where visualization is possible, and interaction with combinatorial group theory via the fundamental group. It also present algorithms for topological problems. Most of the results and proofs are known, but some have been simplified or placed in a new perspective. Over 300 illustrations, many interesting exercises, and challenging open problems are included. New in this edition is a chapter on unsolvable problems, which includes the first textbook proof that the main problem of topology, the homeomorphism problem, is unsolvable.
1117164159
Classical Topology and Combinatorial Group Theory
This is a well-balanced introduction to topology that stresses geometric aspects. Focusing on historical background and visual interpretation of results, it emphasizes spaces with few dimensions, where visualization is possible, and interaction with combinatorial group theory via the fundamental group. It also present algorithms for topological problems. Most of the results and proofs are known, but some have been simplified or placed in a new perspective. Over 300 illustrations, many interesting exercises, and challenging open problems are included. New in this edition is a chapter on unsolvable problems, which includes the first textbook proof that the main problem of topology, the homeomorphism problem, is unsolvable.
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Classical Topology and Combinatorial Group Theory
336Classical Topology and Combinatorial Group Theory
336Paperback(2nd ed. 1993. Softcover reprint of the original 2nd ed. 1993)
$89.95
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Product Details
ISBN-13: | 9781461287490 |
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Publisher: | Springer New York |
Publication date: | 10/01/2011 |
Series: | Graduate Texts in Mathematics Series , #72 |
Edition description: | 2nd ed. 1993. Softcover reprint of the original 2nd ed. 1993 |
Pages: | 336 |
Product dimensions: | 6.10(w) x 9.25(h) x 0.03(d) |
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